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4202104284 = 223377337583
BaseRepresentation
bin1111101001110111…
…0000010111011100
3101211212000000102000
43322131300113130
532101214314114
61532545402300
7206063203620
oct37235602734
911755000360
104202104284
111866a84164
12993339390
1351c764751
142bc123180
15198d97e09
hexfa7705dc

4202104284 has 96 divisors (see below), whose sum is σ = 12469309440. Its totient is φ = 1198805184.

The previous prime is 4202104253. The next prime is 4202104367. The reversal of 4202104284 is 4824012024.

4202104284 is a `hidden beast` number, since 4 + 20 + 210 + 428 + 4 = 666.

It is a super-2 number, since 2×42021042842 = 35315360827222305312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550357 + ... + 557939.

It is an arithmetic number, because the mean of its divisors is an integer number (129888640).

Almost surely, 24202104284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202104284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234654720).

4202104284 is an abundant number, since it is smaller than the sum of its proper divisors (8267205156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4202104284 is a wasteful number, since it uses less digits than its factorization.

4202104284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4202104284 is about 64823.6398546086. The cubic root of 4202104284 is about 1613.6980543766.

The spelling of 4202104284 in words is "four billion, two hundred two million, one hundred four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 733 756 1466 2199 2932 4398 5131 6597 7583 8796 10262 13194 15166 15393 19791 20524 22749 26388 30332 30786 39582 45498 46179 53081 61572 68247 79164 90996 92358 106162 136494 138537 159243 184716 204741 212324 272988 277074 318486 409482 477729 554148 636972 818964 955458 1433187 1910916 2866374 5558339 5732748 11116678 16675017 22233356 33350034 38908373 50025051 66700068 77816746 100050102 116725119 150075153 155633492 200100204 233450238 300150306 350175357 466900476 600300612 700350714 1050526071 1400701428 2101052142 4202104284